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Finding the Fourth Proportional to 441.83, 609.73 and 242.67

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Solution

The fourth proportional to 441.83, 609.73 and 242.67 is: 334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.83 : 609.73 = 242.67 : x
  2. Step 2: Convert to fraction form
    441.83/609.73 = 242.67/x
  3. Step 3: Cross multiply
    441.83x = 609.73 × 242.67
  4. Step 4: Simplify right side
    441.83x = 147,963.18
  5. Step 5: Solve for x
    x = 147,963.18/441.83
  6. Step 6: Final answer
    x = 334.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.